Rational numbers are numbers that can be expressed as a fraction or a ratio of two integers. They can be represented in the form p/q, where p and q are integers, and q is not equal to 0.
Examples of rational numbers include:
- 1/2: This is a rational number because it can be expressed as the fraction 1 divided by 2.
- -3/4: This is also a rational number because it can be represented as the fraction -3 divided by 4.
- 2: Although it might seem like a whole number, 2 can also be expressed as the fraction 2/1, making it a rational number.
Rational numbers include both positive and negative fractions, as well as whole numbers. They can be either terminating or non-terminating decimals when expressed in decimal form.
An important property of rational numbers is that they can be added, subtracted, multiplied, and divided using the same operations as whole numbers. For example, when adding two rational numbers, you can add the numerators and keep the same denominator.
Understanding rational numbers is essential in many areas of mathematics, including algebra, calculus, and number theory. They provide a way to represent and calculate with quantities that are not necessarily whole numbers or decimals. Rational numbers also have applications in real-life situations, such as in finance, where percentages and fractions are commonly used.
Introduction to rational numbers
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